document.write( "Question 1139999: let: L1: y=3 and L2: x=3 prove that:slop(L1) × slop(L2) = - 1 \n" ); document.write( "
Algebra.Com's Answer #760477 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let:
\n" ); document.write( "\"L%5B1%5D\":\"+y=3\"
\n" ); document.write( "\"L%5B2%5D\": \"x=3\" \r
\n" ); document.write( "\n" ); document.write( "prove that:\r
\n" ); document.write( "\n" ); document.write( "\"slope%28L%5B1%5D%29+%2A+slope%28L%5B2%5D%29+=+-+1+\"\r
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\n" ); document.write( "\n" ); document.write( "origin with these two points form right triangle which has legs \"a\",\"+b\" parallel to \"axes\", with say \"a\" horizontal and \"b\" vertical \r
\n" ); document.write( "\n" ); document.write( "basic idea: if a right triangle has legs \"a\", \"b\" parallel to axes, with say \"b\" vertical, and you \"rotate\" that right triangle by \"90\" degrees counterclockwise, the new triangle will have vertical side \"a\" and horizontal side \"-b\".\r
\n" ); document.write( "\n" ); document.write( "Slope of first triangle's hypotenuse is \"b%2Fa\".
\n" ); document.write( "Slope of new triangle's hypotenuse is \"a%2F%28-b%29+=+-a%2Fb\".\r
\n" ); document.write( "\n" ); document.write( "Those hypotenuses are \"perpendicular\", because of the \"90\" degree rotation, and the \"product\" of their slopes is:\r
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\n" ); document.write( "\n" ); document.write( "\"%28b%2Fa%29+%28-a%2Fb%29+=+-1\" .....in your case \"a=3\", \"b=3\"\r
\n" ); document.write( "\n" ); document.write( "\"%283%2F3%29+%28-3%2F3%29+=+-1\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%29+%28-1%29+=+-1\"\r
\n" ); document.write( "\n" ); document.write( "\"-1+=+-1\"->proven\r
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